I have some small experience of following through from Investigations into alledged railway ticketing offences from some passengers who have sought help on here. However, the proportion of cases that I can comment on arising from this forum, in relation to the hundreds (sometimes thousands) detected each week nation-wide, would not be statistically significant.
Additionally, I must say that if we disregard the sample-bias of this forum and look at the ratio of detected incidents by any particular Operator to those which are dealt with by way of an Out of Court Settlemement and then again to those which proceed to Court, then I will make only 2 observations:
A significantly large proportion do reach the Courts on a regular basis, the vast majority succeeding.
A significantly large proportion do not reach the Courts and are concluded by a Private Settlement.
To provide a meaningful context to my observations, perhaps I can make an additional comment:
A significantly large proprtion of rail passengers continue to travel without paying the due fare.